For Exercises 111-114, use the graph of y = f x to answer the following. (See Example 10) a . Determine f − 2 . b . Determine f 3 . c . Find all x for which f x = − 1. d . Find all x for which f x = − 4. e . Determine the x -intercept s . f . Determine the y -intercept . g . Determine the domain of f . h . Determine the range of f
For Exercises 111-114, use the graph of y = f x to answer the following. (See Example 10) a . Determine f − 2 . b . Determine f 3 . c . Find all x for which f x = − 1. d . Find all x for which f x = − 4. e . Determine the x -intercept s . f . Determine the y -intercept . g . Determine the domain of f . h . Determine the range of f
For Exercises 111-114, use the graph of
y
=
f
x
to answer the following. (See Example 10)
a
. Determine
f
−
2
.
b
. Determine
f
3
.
c
. Find all
x
for which
f
x
=
−
1.
d
. Find all
x
for which
f
x
=
−
4.
e
. Determine the
x
-intercept
s
.
f
. Determine the
y
-intercept
.
g
. Determine the domain of
f
.
h
. Determine the range of
f
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
A curve, described by x2 + y2 + 8x = 0, has a point A at (−4, 4) on the curve.Part A: What are the polar coordinates of A? Give an exact answer.Part B: What is the polar form of the equation? What type of polar curve is this?Part C: What is the directed distance when Ø = 5pi/6 Give an exact answer.
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